An iterative algorithm for two-scale wavelet decomposition

Author

Ho, K.C. ; Chan, Y.T.

Author_Institution

Dept. of Electr. Eng., Missouri Univ., Columbia, MO, USA

Volume

49

Issue

1

fYear

2001

fDate

1/1/2001 12:00:00 AM

Firstpage

254

Lastpage

257

Abstract

This correspondence proposes an iterative method to decompose an arbitrary mother wavelet into a bandpass filter and a lowpass filter, where the filter pair will reproduce the mother wavelet through the two-scale equations. This problem is not straightforward because the two-scale relationship between the filter pair and the mother wavelet is nonlinear. The method finds the filter pair by minimizing an objective function with respect to one filter in an iteration and the other in the next iteration until convergence. The algorithm requires least-squares minimization only and is computationally efficient. The performance of the proposed algorithm is supported by simulations

Keywords

band-pass filters; convergence of numerical methods; filtering theory; iterative methods; least squares approximations; low-pass filters; minimisation; wavelet transforms; arbitrary mother wavelet; bandpass filter; computationally efficient algorithm; convergence; filter pair; iterative algorithm; least-squares minimization; lowpass filter; objective function minimization; two-scale wavelet decomposition; Band pass filters; Continuous wavelet transforms; Convergence; Equations; Frequency; Iterative algorithms; Iterative methods; Signal analysis; Signal processing algorithms; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.890371

Filename

890371